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Finding the Fourth Proportional to 5,777.40, 8,668.56 and 2,855.76

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Solution

The fourth proportional to 5,777.40, 8,668.56 and 2,855.76 is: 4,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.40 : 8,668.56 = 2,855.76 : x
  2. Step 2: Convert to fraction form
    5,777.40/8,668.56 = 2,855.76/x
  3. Step 3: Cross multiply
    5,777.40x = 8,668.56 × 2,855.76
  4. Step 4: Simplify right side
    5,777.40x = 24,755,326.91
  5. Step 5: Solve for x
    x = 24,755,326.91/5,777.40
  6. Step 6: Final answer
    x = 4,284.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.